76123476 has 240 divisors, whose sum is σ = 245887488. Its totient is φ = 20217600.

The previous prime is 76123471. The next prime is 76123477. The reversal of 76123476 is 67432167.

76123476 is a `hidden beast` number, since 7 + 612 + 34 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 76123476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76123471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1436266 + ... + 1436318.

Almost surely, 2^76123476 is an apocalyptic number.

76123476 is the 4664-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76123476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

76123476 is an abundant number, since it is smaller than the sum of its proper divisors (169764012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76123476 is a wasteful number, since it uses less digits than its factorization.

76123476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 76123476 is about 8724.8768472684. The cubic root of 76123476 is about 423.8116301621.

The spelling of 76123476 in words is "seventy-six million, one hundred twenty-three thousand, four hundred seventy-six".